Finding the Fourth Proportional to 9,002.84, 13,499.20 and 6,194.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002.84 : 13,499.20 = 6,194.98 : x
2. Step 2: Convert to fraction form
   9,002.84/13,499.20 = 6,194.98/x
3. Step 3: Cross multiply
   9,002.84x = 13,499.20 × 6,194.98
4. Step 4: Simplify right side
   9,002.84x = 83,627,175.55
5. Step 5: Solve for x
   x = 83,627,175.55/9,002.84
6. Step 6: Final answer
   x = 9,288.98